# Calculating Jim Goff's Hourly Wage

• abhikesbhat

## Homework Statement

Every morning at seven o' clock
There's twenty terriers drilling on the rock.
The boss comes around and he says, "Keep still
And bear down heavy on the cast-iron drill

And drill, ye terriers, drill." And drill, ye terriers, drill.
It's work all day for sugar in your tea
Down beyond the railway. And drill, ye terriers, drill.

The foreman's name was John McAnn.
By God, he was a blamed mean man.
One day a premature blast went off
And a mile in the air when big Jim Goff. And drill...

Then when next payday came around
Jim Goff a dollar short was found.
"You were docked for the time you were up in the sky." And drill...

What was Goff's hourly wage? State the assumptions you make in computing it.

y=viT+1/2aT^2

## The Attempt at a Solution

Ok first I converted that mile he went up to meters. So I got 1609 meters. Ok so I solved for vi by vf^2=vi^2+2ax. vi^2=19.6(1609)
vi=177.58

After I got that solved for the time he was up in the air. I got y=177.58T-4.9T^2 and then I set y=0. Solving for T I get T=36.24 seconds. I need to make 36.24 seconds a fraction of an hour so I get 36.24/3600=.0100666

To find his hourly rate I use my beastly math skills and letting x=total r=rate and t=time
x=rt x-1=r(t-.0100666) solving for r I get r=99.34. That's 99.34 dollars an hour! This looks like an old poem so how could this guy be making 99.34 dollars an hour when people today are making like 25 dollars an hour with a respectable job! Where did I go wrong or am I thinking too hard? Thanks for the help!

Looks OK.

Oh so diggers made about a 100 dollars back in the day.

Oh so diggers made about a 100 dollars back in the day.

Not likely. But according to the physics of the poem ... perhaps a little poetic license was involved?